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AbstractSubHyperplane (Commons Math 3.2 API)
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org.apache.commons.math3.geometry.partitioning</FONT>
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Class AbstractSubHyperplane&lt;S extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>,T extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane&lt;S,T&gt;</B>
</PRE>
<DL>
<DT><DT><B>Type Parameters:</B><DD><CODE>S</CODE> - Type of the embedding space.<DD><CODE>T</CODE> - Type of the embedded sub-space.</DL>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;S&gt;</DD>
</DL>
<DL>
<DT><B>Direct Known Subclasses:</B> <DD><A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/oned/SubOrientedPoint.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">SubOrientedPoint</A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubPlane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubPlane</A></DD>
</DL>
<HR>
<DL>
<DT><PRE>public abstract class <B>AbstractSubHyperplane&lt;S extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>,T extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</B><DT>extends <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A><DT>implements <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;S&gt;</DL>
</PRE>

<P>
This class implements the dimension-independent parts of <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><CODE>SubHyperplane</CODE></A>.

 <p>sub-hyperplanes are obtained when parts of an <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><CODE>hyperplane</CODE></A> are chopped off by other hyperplanes that
 intersect it. The remaining part is a convex region. Such objects
 appear in <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning"><CODE>BSP trees</CODE></A> as the intersection of a cut
 hyperplane with the convex region which it splits, the chopping
 hyperplanes are the cut hyperplanes closer to the tree root.</p>
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>3.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: AbstractSubHyperplane.java 1421448 2012-12-13 19:45:57Z tn $</DD>
</DL>
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<TH ALIGN="left"><B>Nested classes/interfaces inherited from interface org.apache.commons.math3.geometry.partitioning.<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A></B></TH>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="type parameter in SubHyperplane.SplitSubHyperplane">U</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></TD>
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<CODE>protected </CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#AbstractSubHyperplane(org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Region)">AbstractSubHyperplane</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyperplane,
                      <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;remainingRegion)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a sub-hyperplane from an hyperplane and a region.</TD>
</TR>
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&nbsp;
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#applyTransform(org.apache.commons.math3.geometry.partitioning.Transform)">applyTransform</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;transform)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Apply a transform to the instance.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected abstract &nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#buildNew(org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Region)">buildNew</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper,
         <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;remaining)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a sub-hyperplane from an hyperplane and a region.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#copySelf()">copySelf</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Copy the instance.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getHyperplane()">getHyperplane</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the underlying hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getRemainingRegion()">getRemainingRegion</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the remaining region of the hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getSize()">getSize</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the size of the instance.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#isEmpty()">isEmpty</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Check if the instance is empty.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;other)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the union of the instance and another sub-hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>abstract &nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the relative position of the instance with respect
 to an hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>abstract &nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Split the instance in two parts by an hyperplane.</TD>
</TR>
</TABLE>
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<P>

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<A NAME="AbstractSubHyperplane(org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Region)"><!-- --></A><H3>
AbstractSubHyperplane</H3>
<PRE>
protected <B>AbstractSubHyperplane</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyperplane,
                                <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;remainingRegion)</PRE>
<DL>
<DD>Build a sub-hyperplane from an hyperplane and a region.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>hyperplane</CODE> - underlying hyperplane<DD><CODE>remainingRegion</CODE> - remaining region of the hyperplane</DL>
</DL>

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<A NAME="buildNew(org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Region)"><!-- --></A><H3>
buildNew</H3>
<PRE>
protected abstract <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt; <B>buildNew</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper,
                                                       <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;remaining)</PRE>
<DL>
<DD>Build a sub-hyperplane from an hyperplane and a region.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>hyper</CODE> - underlying hyperplane<DD><CODE>remaining</CODE> - remaining region of the hyperplane
<DT><B>Returns:</B><DD>a new sub-hyperplane</DL>
</DD>
</DL>
<HR>

<A NAME="copySelf()"><!-- --></A><H3>
copySelf</H3>
<PRE>
public <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt; <B>copySelf</B>()</PRE>
<DL>
<DD>Copy the instance.
 <p>The instance created is completely independent of the original
 one. A deep copy is used, none of the underlying objects are
 shared (except for the nodes attributes and immutable
 objects).</p>
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#copySelf()">copySelf</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>a new sub-hyperplane, copy of the instance</DL>
</DD>
</DL>
<HR>

<A NAME="getHyperplane()"><!-- --></A><H3>
getHyperplane</H3>
<PRE>
public <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt; <B>getHyperplane</B>()</PRE>
<DL>
<DD>Get the underlying hyperplane.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getHyperplane()">getHyperplane</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>underlying hyperplane</DL>
</DD>
</DL>
<HR>

<A NAME="getRemainingRegion()"><!-- --></A><H3>
getRemainingRegion</H3>
<PRE>
public <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt; <B>getRemainingRegion</B>()</PRE>
<DL>
<DD>Get the remaining region of the hyperplane.
 <p>The returned region is expressed in the canonical hyperplane
 frame and has the hyperplane dimension. For example a chopped
 hyperplane in the 3D euclidean is a 2D plane and the
 corresponding region is a convex 2D polygon.</p>
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>remaining region of the hyperplane</DL>
</DD>
</DL>
<HR>

<A NAME="getSize()"><!-- --></A><H3>
getSize</H3>
<PRE>
public double <B>getSize</B>()</PRE>
<DL>
<DD>Get the size of the instance.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getSize()">getSize</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the size of the instance (this is a length in 1D, an area
 in 2D, a volume in 3D ...)</DL>
</DD>
</DL>
<HR>

<A NAME="reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)"><!-- --></A><H3>
reunite</H3>
<PRE>
public <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt; <B>reunite</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;other)</PRE>
<DL>
<DD>Compute the union of the instance and another sub-hyperplane.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>other</CODE> - other sub-hyperplane to union (<em>must</em> be in the
 same hyperplane as the instance)
<DT><B>Returns:</B><DD>a new sub-hyperplane, union of the instance and other</DL>
</DD>
</DL>
<HR>

<A NAME="applyTransform(org.apache.commons.math3.geometry.partitioning.Transform)"><!-- --></A><H3>
applyTransform</H3>
<PRE>
public <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt; <B>applyTransform</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>,<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</A>&gt;&nbsp;transform)</PRE>
<DL>
<DD>Apply a transform to the instance.
 <p>The instance must be a (D-1)-dimension sub-hyperplane with
 respect to the transform <em>not</em> a (D-2)-dimension
 sub-hyperplane the transform knows how to transform by
 itself. The transform will consist in transforming first the
 hyperplane and then the all region using the various methods
 provided by the transform.</p>
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>transform</CODE> - D-dimension transform to apply
<DT><B>Returns:</B><DD>the transformed instance</DL>
</DD>
</DL>
<HR>

<A NAME="side(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><!-- --></A><H3>
side</H3>
<PRE>
public abstract <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</A> <B>side</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper)</PRE>
<DL>
<DD>Compute the relative position of the instance with respect
 to an hyperplane.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>hyper</CODE> - hyperplane to check instance against
<DT><B>Returns:</B><DD>one of <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#PLUS"><CODE>Side.PLUS</CODE></A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#MINUS"><CODE>Side.MINUS</CODE></A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#BOTH"><CODE>Side.BOTH</CODE></A>,
 <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#HYPER"><CODE>Side.HYPER</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><!-- --></A><H3>
split</H3>
<PRE>
public abstract <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt; <B>split</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A>&gt;&nbsp;hyper)</PRE>
<DL>
<DD>Split the instance in two parts by an hyperplane.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>hyper</CODE> - splitting hyperplane
<DT><B>Returns:</B><DD>an object containing both the part of the instance
 on the plus side of the instance and the part of the
 instance on the minus side of the instance</DL>
</DD>
</DL>
<HR>

<A NAME="isEmpty()"><!-- --></A><H3>
isEmpty</H3>
<PRE>
public boolean <B>isEmpty</B>()</PRE>
<DL>
<DD>Check if the instance is empty.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#isEmpty()">isEmpty</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>true if the instance is empty</DL>
</DD>
</DL>
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